[考古] 高大96
不好意思
有10題
麻煩大家了
謝謝
1.A Deposit $P made into a fund with an annual interest rate of r
. Fund the time (in years) necessary to double if the interest is
compounded continuously.
2.determine the convergence or divergence for the following series:
∞ n! ∞ n!
(a)Σ －－－ (b)Σ －－－
n=1 n^n n=1 10^n
3.For what values of η (demand elasticity of price, η>0) is the
demand function p=37x^(-1/η) elastic, where p is the price of x?
x-4
4.Find all intervals of x on which y=------- is concave down.
x+4
dy siny
5.Find ---- for y^3+------=㏑√cosx +4x
dx e^y
6.Find the area of the region bounded by the graphs of y=x^2 and y=2-x^2.
7.Find the integral ∫e^3xsin4xdx.
8.Please use (a) Trapezoidal rule, and (b) Simpson rule both with n=4 to
3
approximate ∫ (x+2)^3 dx.
1
9.Find the Maclaurin sreies representation for f(x)=e^(-x^2) , then
(49)
find f (0).
10.John擬於下月1日向某車商購置一輛新車，車商現在有兩種優惠方案，一為現金價;
按原定價P元折抵X元(X<P)，一次付清;二為五年低利(年利率r)分期付款;依定價P元計
算，每月底還款Y元，試問John應如何比較此兩方案以節省荷包(假設五年內市場年利率
維持固定為i，且i>r)?
想請問一下
我有看到麥克勞林級數
請問這是會考的重點嗎???
還有大約考哪些重點呢?
我快嚇死了啦!我的天阿
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